20130122110104 has 256 divisors, whose sum is σ = 57217926528000. Its totient is φ = 6555877171200.

The previous prime is 20130122110103. The next prime is 20130122110193. The reversal of 20130122110104 is 40101122103102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130122110103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1664052984 + ... + 1664065080.

It is an arithmetic number, because the mean of its divisors is an integer number (223507525500).

Almost surely, 2^{20130122110104} is an apocalyptic number.

20130122110104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130122110104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28608963264000).

20130122110104 is an abundant number, since it is smaller than the sum of its proper divisors (37087804417896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20130122110104 is a wasteful number, since it uses less digits than its factorization.

20130122110104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13215 (or 13205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20130122110104 its reverse (40101122103102), we get a palindrome (60231244213206).

The spelling of 20130122110104 in words is "twenty trillion, one hundred thirty billion, one hundred twenty-two million, one hundred ten thousand, one hundred four".